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Some of your piece values are off, especially Archbishop, which is about C - 0.25 P = Q - 0.75 P (so 9.25 on your scale). The Amazon seems to be worth only Q+N, so 13 on your scale.
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As a concequence, the opening line you suggest seems suicidal for black, as bad as being piece vs Pawn behind. I doubt any development advantage would make up for such a huge material deficit.
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As to the computer resistance: can you beat the Sjaak II engine in this game?